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Finding the Third Proportional to 377,071 and 813,182

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Solution

The third proportional to 377,071 and 813,182 is: 1,753,688.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,071 : 813,182 = 813,182 : x
  2. Step 2: Convert to fraction form
    377,071/813,182 = 813,182/x
  3. Step 3: Cross multiply
    377,071x = 813,182 × 813,182
  4. Step 4: Simplify right side
    377,071x = 661,264,965,124
  5. Step 5: Solve for x
    x = 661,264,965,124/377,071
  6. Step 6: Final answer
    x = 1,753,688.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.